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Electronic Structure of Atoms - General Chemistry

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  • What is wavelength (λ) in electromagnetic radiation?

    Wavelength (λ) is the distance between corresponding points on adjacent waves in electromagnetic radiation.

  • Define frequency (ν) of a wave.

    Frequency (ν) is the number of complete waves passing a given point per unit time, typically per second.

  • What is the relationship between wavelength and frequency for waves traveling at the same velocity?

    For waves traveling at the same velocity, the longer the wavelength, the smaller the frequency.

  • What is the speed of light (c) and its relation to wavelength and frequency?

    The speed of light is \(3.00 \times 10^{8}~m/s\). It relates to wavelength and frequency by \(c = \lambda \nu\).

  • Name three atomic properties not explained by wave theory alone.

    1) Blackbody radiation, 2) Photoelectric effect, 3) Emission spectra of excited gas atoms.

  • What are quanta according to Max Planck?

    Quanta are discrete packets of energy that energy is emitted or absorbed in, rather than continuous waves.

  • State Einstein's equation relating energy and frequency of light.

    \(E = h \nu\), where h is Planck's constant \(6.626 \times 10^{-34}~J\cdot s\).

  • What is the difference between continuous and line spectra?

    Continuous spectra show all wavelengths (like a rainbow), while line spectra show discrete wavelengths unique to each element.

  • What does the Bohr model propose about electron orbits?

    Electrons orbit the nucleus in specific allowed orbits with quantized energies; energy is emitted or absorbed when electrons change orbits.

  • What is the ground state and excited state of an electron?

    The ground state is the lowest energy state of an electron; any higher energy state is an excited state.

  • How is the energy change (ΔE) related to photon emission or absorption in the Bohr model?

    ΔE < 0 means photon is emitted (energy released); ΔE > 0 means photon is absorbed (energy gained).

  • What are the limitations of the Bohr model?

    It only accurately describes hydrogen; it assumes electrons do not spiral into the nucleus and treats electron motion as circular, not wave-like.

  • What did Louis de Broglie propose about matter?

    Matter exhibits wave properties, with wavelength related to momentum by \(\lambda = \frac{h}{mv}\).

  • State Heisenberg's Uncertainty Principle.

    The more precisely a particle's momentum is known, the less precisely its position can be known, expressed as \(\Delta x \Delta p \geq \frac{h}{4\pi}\).

  • What is the significance of Schrödinger's wave equation?

    It mathematically describes electrons as wave functions, giving probabilities of electron locations rather than fixed orbits.

  • What do quantum numbers describe?

    Quantum numbers describe the energy, shape, and orientation of atomic orbitals where electrons are likely found.

  • What is the principal quantum number (n)?

    n describes the energy level of an orbital and takes integer values ≥ 1.

  • What does the angular momentum quantum number (l) represent?

    l defines the shape of the orbital, with values from 0 to n-1, corresponding to s, p, d, f orbitals.

  • What is the magnetic quantum number (ml)?

    ml describes the orientation of an orbital in space, with values from -l to +l.

  • What is the spin quantum number (ms)?

    ms describes the electron's spin, with allowed values of +1/2 or -1/2.

  • State the Pauli Exclusion Principle.

    No two electrons in the same atom can have the same set of four quantum numbers (n, l, ml, ms).

  • What is an electron configuration?

    It is the arrangement of electrons in an atom's orbitals, showing energy levels, orbital types, and electron counts.

  • What is Hund's Rule?

    Electrons fill degenerate orbitals singly first, with parallel spins, to maximize total spin.

  • What are valence and core electrons?

    Valence electrons are in the outermost shell; core electrons are in filled inner shells.

  • How are condensed electron configurations written?

    Using the noble gas symbol for core electrons in brackets, followed by valence electron configuration.

  • What is a common anomaly in electron configurations (e.g., chromium)?

    Electrons may occupy orbitals to half-fill or fully fill d or f subshells for extra stability, deviating from expected order.

  • How does the periodic table relate to electron configurations?

    Blocks correspond to orbital types: s, p, d, f; electron filling follows increasing energy order reflected in the table.